Well, "unlimited" could be open to debate on misleading advertising (though from the article it sounds like the point at which Verizon said "no way" was mention of a file/streaming server).
But "great for games" in no way implies servers. There are many MANY games (probably the majority of online games these days) that do not run as a server. And I'd have to say 300Mbps FIOS would undoubtedly be pretty great for online games.
Besides, it's really about just plain common sense here - they clearly don't give a shit if you are running some FPS online game in hosted mode. They care when someone streams 50+TB a month for their company's testing over a residential connection. It's morons that abuse services like this that cause them to change the policies for the rest of the normal users, usually for the worse.